Roots of many Yablonskii-Vorob'ev polynomials \(Q_{N}^{[m]}(z)\)  were plotted in [1]}, and
highly regular and symmetric patterns were observed. Due to the importance of these root structures to our work, we reproduce some of those root plots in Fig. REF  for \(N=6\)  and \(1\le m\le 5\) . Boundaries of the roots in \(Q_{N}^{[m]}(z)\)  in the large-\(N\)  limit have been determined in [2]}, [3]}.
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